Question

setermine with out graphing if this has one solution, no solution or infinite number of solutions explain why
x-y =3
3x + 3y = -3

Answer 1

they are the same line

Answer 2

no they aint

Answer 3

parallel at least :)

Answer 4

take the 3 out of the 2nd equation

Answer 5

no differnent

Answer 6

x + y = -1

Answer 7

perp?

Answer 8

negative reciprocal slopes so yes perpendicular

Answer 9

product of slopes is -1

Answer 10

so one solution exists

Answer 11

i knew it :) kindof... maybe

Answer 12

intersect at only one point so only one solution exist. As these are straight lines so they cut only once.

Answer 13

1. If the slopes are the same then:
A) if you can get one equation by multiplying the other equation by a constant, then they are the same line which means infinitely many solutions
B) if the left hand sides are the same and the right hand sides are different then the lines are parallel which means no solution
2. otherwise if the slopes are different then they will intersect at one point